On the Generalized Stability of the Convex Hull of Two Matrices.
| dc.contributor.author | Saydy, L. | en_US |
| dc.contributor.author | Tits, A.L. | en_US |
| dc.contributor.author | Abed, Eyad H. | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T09:41:00Z | |
| dc.date.available | 2007-05-23T09:41:00Z | |
| dc.date.issued | 1988 | en_US |
| dc.description.abstract | Contingent on the existence of certain affine maps, necessary and sufficient conditions for the eigenvalues of all matrices belonging to the convex hull of two given matrices to lie in a subset of the complex plane are obtained. Such maps are identified for every balanced convex domain D with polygonal boundary and conclusive D-stability criteria are obtained. In the case when D is the open left half plane, the computational complexity of the new test is somewhat lower than that of a previously proposed criterion. For nonpolygonal balanced convex domains, conditions that are as close to being necessary and sufficient as desired may be obtained via a suitable approximation of these domains by polygonal ones. | en_US |
| dc.format.extent | 388120 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/4755 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 1988-23 | en_US |
| dc.title | On the Generalized Stability of the Convex Hull of Two Matrices. | en_US |
| dc.type | Technical Report | en_US |
Files
Original bundle
1 - 1 of 1